Question

determine if the table below represents a proportional relationship
x y
1 4
2 6
3 7
4 10

Answer 1

To determine if the table represents a proportional relationship, we need to check if the ratio between y and x is the same for all values.

In this case, we can calculate the ratios:

For x = 1, y = 4: y/x = 4/1 = 4
For x = 2, y = 6: y/x = 6/2 = 3
For x = 3, y = 7: y/x = 7/3 ≈ 2.333
For x = 4, y = 10: y/x = 10/4 = 2.5

Since the ratios are not the same for all values, the table does not represent a proportional relationship.